Which, on one hand, might allow for a rather less bad 1980-82 recession(let's face it, Connally's economic policies were terrible), and quite possibly no botched hostage rescue attempt in Iran.....but on the other hand, that'd also mean no President Ferraro or quite possibly the '84 electoral landslide for that matter; remember, President Jackson had died in '83 and VP Ferraro got a real sympathy boost, much like LBJ had in '64, and perhaps bigger at that.....not to mention the steadily recovering economy and her stellar handling of the South Asian Missile Crisis in October '84, amongst other things.
So yeah, while Connally arguably was a pretty damned crappy President, at least we got some things out of that in the long run that were arguably quite positive for our country.
Meanwhile, OTOH, Nixon giving in to paranoia, while it might have really helped the Dems in '76, might not necessarily have lead to all the positive outcomes that we might hope for later on.